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Finding the Fourth Proportional to 617.27, 851.01 and 407.09

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Solution

The fourth proportional to 617.27, 851.01 and 407.09 is: 561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.27 : 851.01 = 407.09 : x
  2. Step 2: Convert to fraction form
    617.27/851.01 = 407.09/x
  3. Step 3: Cross multiply
    617.27x = 851.01 × 407.09
  4. Step 4: Simplify right side
    617.27x = 346,437.66
  5. Step 5: Solve for x
    x = 346,437.66/617.27
  6. Step 6: Final answer
    x = 561.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.